Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12264a |
Isogeny class |
Conductor |
12264 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
10515952883536128 = 28 · 314 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45803948,119301776544] |
[a1,a2,a3,a4,a6] |
j |
41513800617145296098818000/41077940951313 |
j-invariant |
L |
3.5742488848755 |
L(r)(E,1)/r! |
Ω |
0.25530349177682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24528b2 98112a2 36792h2 85848e2 |
Quadratic twists by: -4 8 -3 -7 |